Answer:
.hh
Step-by-step explanation:
jj
Answer:
Option D, i.e., -0.7.
Step-by-step explanation:
Correlation describes the relation between two variables. It is defined by r and the value of correlation lies in the interval [-1,1].
If r=1, it represents strong positive correlation between two variables.
If r=0, it represents no correlation between two variables.
If r=-1, it represents strong negative correlation between two variables.
It is given that the value of a car decreases with age. The value of one variable decreases if the value of another variable increases. It means, the given problem has negative correlation.
If the data points lie about a straight negative line then coefficient is -1.
Since, the data set is not given, so the it represents moderate negative correlation, i.e, r=-0.7.
Therefore, the correct option is D.
The Pythagorean theorem is a mathematical process which allows us to find a missing side to a triangle. The formula for the Pythagorean theorem is: a^2 + b^2 = c^2.
Example problem:
2^2 + 4^2 = c^
4 + 16 = C
20 = C
4.47 = C^2
Let the first number be represented by "x".
Let the second number be represented by "y".
"Four times a number..." = 4x
"... minus 5..." = 4x - 5
"... times another number..." = y(4x - 5)
"... is equal to 21." = y(4x - 5) = 21
y(4x - 5) = 21
"Three times the sum of the two numbers (x & y) is 36." = 3(x +y) = 36
3(x + y) = 36
y(4x - 5) = 21
1) solve for "y"
1) y(4x - 5) = 21
2) 4xy - 5y = 21
3) 4xy/4x - 5y = 21/4x
(what you do to one side of the equals sign, you must do to the other so 4x cancels out on the left side, and on the right side you have to divide 21 by 4x)
4) y - 5y/-5 = 5.25x/-5
5) y + y = -1.05x
6) 2y = -1.05x
7) 2y/2 = -1.05x/2
8) y = -.525x
2) substitute "y" in for the second equation
1) 3(x + (-.525x)) = 36
(notice how you now only have x's in this equation)
3) solve for x
1) 3x - 1.575x = 36
2) 1.425x = 36
3) 1.425x/1.425 = 36/1.425
4) x = 25.3
4) finish finding "y" in either one of the equations using the answer you got for "x"
1) y(4(25.3) - 5) = 21
2) y(101.2 - 5) = 21
3) y(96.2) = 21
4) 96.2y = 21
5) 96.2y/96.2 = 21/96.2
6) y = .22
5) check your work by substituting the two answers back into one of the equations
1) .22(4(25.3) - 5) = 21
2) .22(101.2 - 5) = 21
3) .22(96.2) = 21
4) 21.164 = 21
(round down to get the answer)
Answer:
g = 118 degrees
h = 62 degrees
k = 98 degrees
m = 82 degrees
Step-by-step explanation:
180-118=62
180-98=82
